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Finding the Third Proportional to 755 and 861

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Solution

The third proportional to 755 and 861 is: 981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    755 : 861 = 861 : x
  2. Step 2: Convert to fraction form
    755/861 = 861/x
  3. Step 3: Cross multiply
    755x = 861 × 861
  4. Step 4: Simplify right side
    755x = 741,321
  5. Step 5: Solve for x
    x = 741,321/755
  6. Step 6: Final answer
    x = 981.88

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.